Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51120bp |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-781534730649600 = -1 · 226 · 38 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13107,1463794] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:1350:1] |
Generators of the group modulo torsion |
j |
-83396175409/261734400 |
j-invariant |
L |
7.8610166900352 |
L(r)(E,1)/r! |
Ω |
0.44281645515464 |
Real period |
R |
2.2190392312963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390m1 17040t1 |
Quadratic twists by: -4 -3 |